Search a number
-
+
4052331240000 = 263542953127173
BaseRepresentation
bin111010111110000001110…
…000111001101001000000
3112100101202221011010122020
4322332001300321221000
51012343133244140000
612341340522041440
7565525355132001
oct72760160715100
915311687133566
104052331240000
11132264738284a
12555451649280
1323519682aac4
141001c35111a8
1570625342ba0
hex3af81c39a40

4052331240000 has 1120 divisors, whose sum is σ = 14314921758720. Its totient is φ = 1009741824000.

The previous prime is 4052331239987. The next prime is 4052331240037. The reversal of 4052331240000 is 421332504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23423879914 + ... + 23423880086.

Almost surely, 24052331240000 is an apocalyptic number.

4052331240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052331240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157460879360).

4052331240000 is an abundant number, since it is smaller than the sum of its proper divisors (10262590518720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4052331240000 is a wasteful number, since it uses less digits than its factorization.

4052331240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 4052331240000 its reverse (421332504), we get a palindrome (4052752572504).

The spelling of 4052331240000 in words is "four trillion, fifty-two billion, three hundred thirty-one million, two hundred forty thousand".